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The generalized Hooke's Law is a broadened version of Hooke's Law, which extends to all types of stress and in every direction. Consider an isotropic material shaped into a cube subjected to multiaxial loading. In this scenario, normal stresses are exerted along the three coordinate axes. As a result of these stresses, the cubic shape deforms into a rectangular parallelepiped. Despite this deformation, the new shape maintains equal sides, and there is a normal strain in the direction of the...
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Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
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Crosslink strength governs yielding behavior in dynamically crosslinked hydrogels.

Noah Eckman1, Abigail K Grosskopf1, Grace Jiang2

  • 1Department of Chemical Engineering, Stanford University, Stanford, CA, USA.

Biomaterials Science
|February 6, 2025
PubMed
Summary
This summary is machine-generated.

Dynamically crosslinked hydrogels transition from solid to liquid, aiding cell therapy. Understanding their yielding dynamics is key for protecting injected cells and designing better biomaterials.

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Area of Science:

  • Biomaterials Science
  • Rheology
  • Cell Therapy

Background:

  • Dynamically crosslinked hydrogels exhibit a yielding transition, enabling their use in biomedical applications like cell delivery.
  • The mechanisms and effects of this yielding transition on encapsulated cells are not fully understood.
  • Current research focuses on understanding these dynamics for improved cell therapy applications.

Purpose of the Study:

  • To elucidate the molecular mechanisms governing the yielding transition in dynamically crosslinked hydrogels.
  • To establish design rules for predicting the impact of yielding on encapsulated cells.
  • To characterize the speed and nature of the yielding transition in these biomaterials.

Main Methods:

  • Nonlinear rheological characterization was employed to study the hydrogel yielding transition.
  • Network dynamics of the hydrogels were analyzed in relation to their yielding behavior.
  • The rapidity and characteristics of the yielding transition were quantified.

Main Results:

  • Hydrogel network dynamics were found to dictate the speed and characteristics of the yielding transition.
  • Unexpected elastic strain stiffening was observed during the yielding process.
  • The speed of the yielding transition was characterized, with slower yielding correlating to enhanced cell protection.

Conclusions:

  • The study reveals molecular mechanisms underlying hydrogel yielding, crucial for cell therapy.
  • Slower yielding speeds offer enhanced protection to directly injected cells from shear forces.
  • Comprehensive mechanical characterization across all phases of yield-stress biomaterials is essential for translational applications.